2b^2-143=-9b

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Solution for 2b^2-143=-9b equation:


Simplifying
2b2 + -143 = -9b

Reorder the terms:
-143 + 2b2 = -9b

Solving
-143 + 2b2 = -9b

Solving for variable 'b'.

Reorder the terms:
-143 + 9b + 2b2 = -9b + 9b

Combine like terms: -9b + 9b = 0
-143 + 9b + 2b2 = 0

Factor a trinomial.
(-11 + -1b)(13 + -2b) = 0

Subproblem 1

Set the factor '(-11 + -1b)' equal to zero and attempt to solve: Simplifying -11 + -1b = 0 Solving -11 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1b = 0 + 11 -1b = 0 + 11 Combine like terms: 0 + 11 = 11 -1b = 11 Divide each side by '-1'. b = -11 Simplifying b = -11

Subproblem 2

Set the factor '(13 + -2b)' equal to zero and attempt to solve: Simplifying 13 + -2b = 0 Solving 13 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2b = 0 + -13 -2b = 0 + -13 Combine like terms: 0 + -13 = -13 -2b = -13 Divide each side by '-2'. b = 6.5 Simplifying b = 6.5

Solution

b = {-11, 6.5}

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